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Attachment and detachment rate distributions in deep-bed filtration
Journal article

Attachment and detachment rate distributions in deep-bed filtration

Hsiang-Ku Lin, Leonid P. Pryadko, Sharon Walker and Roya Zandi
Physical review. E, Statistical, nonlinear, and soft matter physics, v 79(4), pp 046321-046321
01 Apr 2009
PMID: 19518347
url
https://arxiv.org/pdf/0905.1734View
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Abstract

Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology
We study the transport and deposition dynamics of colloids in saturated porous media under unfavorable filtering conditions. As an alternative to traditional convection-diffusion or more detailed numerical models, we consider a mean-field description in which the attachment and detachment processes are characterized by an entire spectrum of rate constants, ranging from shallow traps which mostly account for hydrodynamic dispersivity, all the way to the permanent traps associated with physical straining. The model has an analytical solution which allows analysis of its properties including the long-time asymptotic behavior and the profile of the deposition curves. Furthermore, the model gives rise to a filtering front whose structure, stability, and propagation velocity are examined. Based on these results, we propose an experimental protocol to determine the parameters of the model.

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25 citations in Scopus

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#6 Clean Water and Sanitation

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Web of Science research areas
Physics, Fluids & Plasmas
Physics, Mathematical
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